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uysha [10]
3 years ago
5

Jackie is taking a week-long football class. The first day, she gains 6 yards on her only possession of the football. On the sec

ond day, she quarterbacks for 3 plays and gains 6 yards on each play. What is the total number of yards Jackie gained?
Mathematics
1 answer:
Veronika [31]3 years ago
4 0

Answer:

6

Step-by-step explanation:

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Complete the recursive formula of the geometric sequence 16\,,\,3.2\,,\,0.64\,,\,0.128,...16,3.2,0.64,0.128,
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Answer:

a_{n+1}=0.2a_n for all n>0, a_1=16

Step-by-step explanation:

Let \{a_n\}=\{16,3.2,0.64,0.128,\cdots \} be the sequence described.

A geometric sequence has the following property: there exists some r (the ratio of the sequence) such that \frac{a_{n+1}}{a_n}=r forr all n>0.

To find r, note that

\frac{3.2}{16}=\frac{32}{10(16)}=\frac{2}{10}=\frac{1}{5}=0.2

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\frac{0.128}{0.64}=\frac{1}{5}=0.2

Thus a_{n+1}=r a_n=\frac{a_n}{5}=0.2a_n for all n>0, and a_1=16

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